Finding the Third Proportional to 3,768 and 7,802

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768 : 7,802 = 7,802 : x
2. Step 2: Convert to fraction form
   3,768/7,802 = 7,802/x
3. Step 3: Cross multiply
   3,768x = 7,802 × 7,802
4. Step 4: Simplify right side
   3,768x = 60,871,204
5. Step 5: Solve for x
   x = 60,871,204/3,768
6. Step 6: Final answer
   x = 16,154.78